In Young's double slit experiment, the position of the
n‌th ‌ bright fringe is given by the equation:
xn=‌where:
xn is the position of the fringe
n is the order number of the fringe
λ is the wavelength of the light used
D is the distance between the slits and the screen
d is the distance between the two slits
In this problem, we are given that the
n‌th ‌ bright fringe for red light coincides with the
(n+1)‌th ‌ bright fringe for violet light. This means:
nλ‌red ‌=(n+1)λ‌violet ‌Given the wavelengths:
‌λ‌red ‌=6300∘A‌λ‌violet ‌=4200∘AWe can substitute these values into the equation:
nâ‹…6300=(n+1)â‹…4200Simplifying this equation:
‌6300n=4200n+4200‌2100n=4200‌n=2So, the value of '
n ' is 2 .
Thus, the correct option is:
Option A: 2